Ratio and Rate Problems

1. Ratio and Rate Problems Chapter 3, Lesson 3C Pages 180-185

2. Map Activity

3. Learning Objectives & Vocab. • Learning Objective #4 • I can problem solve using ratio and rates. • Common Core Standard 6.RP.3. 6.RP.3b • Vocabulary • Ratio • Rate • Equivalent Ratio • Proportion

4. Example 1 CLUBSPine Hill Middle School has 300 students. In Zoey’s class, two out of five students belong to a club. Use this ratio to predict how many students at Pine Hill Middle School belong to a club. Method 1Use a bar diagram. Step 1Draw a bar diagram.

5. Example 1 Step 2Determine how many students are in each section. There are 60 + 60 or 120 students in two sections.

6. in a club in a club ? 2 2 _____ ___ ___ = total total 300 5 5 ×60 120 _____ = 300 ×60 Example 1 Method 2Use equivalent fractions. Write an equivalent ratio. Since 5  60 = 300, multiply 2 by 60. Answer:So, you can predict that 120 students belong to a club.

7. Example 2 SPORTS In a survey, the ratio of students who prefer soccer to baseball is 2 to 3. The number of people who prefer soccer is 36. How many people in the survey prefer baseball? Method 1Use a bar diagram. Step 1Draw a bar diagram.

8. Example 2 Step 2Determine how many people are in each section. There are 18 + 18 + 18 or 54 people in the survey who prefer baseball.

9. 36 soccer soccer 2 2 _____ = ___ ___ baseball baseball ? 3 3 ×18 36 _____ = 54 ×18 Example 2 Method 2Use equivalent fractions. Write an equivalent ratio. Since 2  18 = 36, multiply 3 by 18. Answer:So, 54 people in the survey prefer baseball.

10. Example 3 • LUNCH PERIODS A survey found that 5 out of every 8 students would prefer an earlier lunch period. If 120 students chose an earlier lunch on the survey, how many students took the survey?

11. Example 4 • LUNCH PERIODS A survey found that 5 out of every 8 students would prefer an earlier lunch period. If 120 students chose an earlier lunch on the survey, how many students took the survey?

12. Homework • Page 183, #4-13